基于双磁偶极子的螺线管磁场建模分析  

Solenoid magnetic field modeling based on dual magnetic dipoles

作　　者：谢阳光 李清华[2] 解伟男[2] 李新年 XIE Yangguang;LI Qinghua;XIE Weinan;LI Xinnian(Flight Automatic Control Research Institute,Aviation Industry Corporation of China,Xi’an 710065,China;Space Control and Inertial Technology Research Center,Harbin Institute of Technology,Harbin 150001,China)

机构地区：[1]中国航空工业集团公司西安自动飞行控制研究所,西安710065 [2]哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨150001

出　　处：《中国惯性技术学报》2019年第5期625-630,共6页Journal of Chinese Inertial Technology

基　　金：航空科学基金项目（20175877011）;国家自然科学基金（61403095)

摘　　要：针对低频交变磁场定位中,螺线管磁场分布的单磁偶极子模型在近场误差较大,定位精度差的问题,提出了一种基于双磁偶极子的螺线管磁场分布建模方法。首先通过分析磁偶极子在空间中的磁场分布规律,将螺线管等效为两个对称的磁偶极子阵列的叠加,建立了螺线管的磁偶极子阵列模型。然后引入模型误差的目标函数,利用模拟退火算法计算最优模型参数。最后根据磁场分布模型,将磁偶极子阵列简化为磁偶极子,在保证定位精度的同时,简化了模型,便于定位解算。实验结果表明,在近场条件下,双磁偶极子模型的最大误差仅为0.003m,相对传统的单磁偶极子模型,最大定位误差下降了90.26%,在远场条件下,单磁偶极子模型与双磁偶极子模型的最大误差近似。A modeling method of magnetic field distribution of the solenoid based on the dual magnetic dipoles is proposed for low frequency alternating magnetic field positioning,which can reduce the near-field error of single magnetic dipole model and improve positioning accuracy.Firstly,by analyzing the magnetic field distribution law of the magnetic dipole in space,the solenoid is equivalent to the superposition of two symmetrical magnetic dipole arrays,and the magnetic dipole array model of the solenoid is established.Then the objective function of model error is introduced and the optimal model parameters are calculated by simulated annealing algorithm.Finally,according to the model of magnetic field distribution,the magnetic dipole array is simplified as magnetic dipole,which not only ensures the positioning accuracy,but also simplifies the model and facilitates the positioning calculation.Experimental results show that,under the condition of near-field,the maximum error of dual magnetic dipoles model is only 0.003m,which is 90.26%lower than that of the traditional single-magnetic dipole model.The maximum error is approximate between the traditional single-magnetic dipole model and dual magnetic dipoles model under the condition of far-field.

关 键 词：磁场定位 磁场分布模型 磁偶极子 近场 模拟退火算法 

分 类 号：V249.3[航空宇航科学与技术—飞行器设计]